Medium
You are given a string source
of size n
, a string pattern
that is a subsequence of source
, and a sorted integer array targetIndices
that contains distinct numbers in the range [0, n - 1]
.
We define an operation as removing a character at an index idx
from source
such that:
idx
is an element of targetIndices
.pattern
remains a subsequence of source
after removing the character.Performing an operation does not change the indices of the other characters in source
. For example, if you remove 'c'
from "acb"
, the character at index 2 would still be 'b'
.
Return the maximum number of operations that can be performed.
Example 1:
Input: source = “abbaa”, pattern = “aba”, targetIndices = [0,1,2]
Output: 1
Explanation:
We can’t remove source[0]
but we can do either of these two operations:
source[1]
, so that source
becomes "a_baa"
.source[2]
, so that source
becomes "ab_aa"
.Example 2:
Input: source = “bcda”, pattern = “d”, targetIndices = [0,3]
Output: 2
Explanation:
We can remove source[0]
and source[3]
in two operations.
Example 3:
Input: source = “dda”, pattern = “dda”, targetIndices = [0,1,2]
Output: 0
Explanation:
We can’t remove any character from source
.
Example 4:
Input: source = “yeyeykyded”, pattern = “yeyyd”, targetIndices = [0,2,3,4]
Output: 2
Explanation:
We can remove source[2]
and source[3]
in two operations.
Constraints:
1 <= n == source.length <= 3 * 103
1 <= pattern.length <= n
1 <= targetIndices.length <= n
targetIndices
is sorted in ascending order.targetIndices
contains distinct elements in the range [0, n - 1]
.source
and pattern
consist only of lowercase English letters.pattern
appears as a subsequence in source
.import kotlin.math.max
class Solution {
fun maxRemovals(source: String, pattern: String, targetIndices: IntArray): Int {
val sChars = source.toCharArray()
val sn = sChars.size
val pChars = ("$pattern#").toCharArray()
val pn = pattern.length
var tn = targetIndices.size
val maxPat = IntArray(tn + 1)
var i = 0
var di = 0
var nextTI = targetIndices[0]
while (i < sn) {
val c = sChars[i]
if (i == nextTI) {
maxPat[di + 1] = maxPat[di]
var p = maxPat[di + 1]
for (j in di downTo 1) {
val q = maxPat[j - 1]
maxPat[j] = if (c != pChars[p]) q else max((p + 1), q)
p = q
}
if (c == pChars[p]) {
maxPat[0] = p + 1
}
nextTI = if (++di < tn) targetIndices[di] else -1
} else {
for (j in 0..di) {
val p = maxPat[j]
if (c == pChars[p]) {
maxPat[j] = p + 1
}
}
}
i++
}
while (maxPat[tn] < pn) {
tn--
}
return tn
}
}